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Finding the Fourth Proportional to 3,199.82, 4,791.98 and 2,647.94

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Solution

The fourth proportional to 3,199.82, 4,791.98 and 2,647.94 is: 3,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.82 : 4,791.98 = 2,647.94 : x
  2. Step 2: Convert to fraction form
    3,199.82/4,791.98 = 2,647.94/x
  3. Step 3: Cross multiply
    3,199.82x = 4,791.98 × 2,647.94
  4. Step 4: Simplify right side
    3,199.82x = 12,688,858.18
  5. Step 5: Solve for x
    x = 12,688,858.18/3,199.82
  6. Step 6: Final answer
    x = 3,965.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.